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13334720 = 26575953
BaseRepresentation
bin110010110111…
…100011000000
3221002110210112
4302313203000
511403202340
61153450452
7221225510
oct62674300
927073715
1013334720
117588633
124570a28
1329bb689
141ab1840
151286065
hexcb78c0

13334720 has 56 divisors (see below), whose sum is σ = 36295584. Its totient is φ = 4571136.

The previous prime is 13334719. The next prime is 13334801. The reversal of 13334720 is 2743331.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-3 number, since 3×133347203 (a number of 22 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 737 + ... + 5216.

Almost surely, 213334720 is an apocalyptic number.

13334720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13334720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18147792).

13334720 is an abundant number, since it is smaller than the sum of its proper divisors (22960864).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13334720 is an equidigital number, since it uses as much as digits as its factorization.

13334720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5977 (or 5967 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 23.

The square root of 13334720 is about 3651.6735889178. The cubic root of 13334720 is about 237.1344403900.

The spelling of 13334720 in words is "thirteen million, three hundred thirty-four thousand, seven hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 140 160 224 280 320 448 560 1120 2240 5953 11906 23812 29765 41671 47624 59530 83342 95248 119060 166684 190496 208355 238120 333368 380992 416710 476240 666736 833420 952480 1333472 1666840 1904960 2666944 3333680 6667360 13334720